I ended up not needing to stir it all that much. The ice bath in the sink did a better job than expected. Used a sanitized metal spoon for the job. Thanks for the answers!
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Tony RufkahrJan 3 '10 at 3:41

I create a whirlpool in my wort while it is still boiling, and then drop the wort chiller in. The whirlpool lasts for quite a while, and helps to clarify the wort. I also do this when I've had to use an ice bath. But I'd recommend a wort chiller :)

They're not hard to make. Get some soft copper tubing, vinyl tubing and garden hose adapters. The inner diameter of the vinyl should match the outer diameter of the copper. Form the copper around something and clamp together.
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Dean BrundageJan 3 '10 at 17:32

I don't have a wort chiller, so I do an ice bath and occasionally stir just to get it to cool evenly. The most important thing to remember is sanitize the spoon. Everything the wort touches from this point forward needs to be sanitized.